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Finding the Fourth Proportional to 6,592.14, 9,097.02 and 3,607.92

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Solution

The fourth proportional to 6,592.14, 9,097.02 and 3,607.92 is: 4,978.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,592.14 : 9,097.02 = 3,607.92 : x
  2. Step 2: Convert to fraction form
    6,592.14/9,097.02 = 3,607.92/x
  3. Step 3: Cross multiply
    6,592.14x = 9,097.02 × 3,607.92
  4. Step 4: Simplify right side
    6,592.14x = 32,821,320.40
  5. Step 5: Solve for x
    x = 32,821,320.40/6,592.14
  6. Step 6: Final answer
    x = 4,978.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.